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Ellipsoid Routines (``mathtools.ellipsoid``)
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This module provides performance-optimised services regarding complex-valued positive-semidefinite matrices :math:`A^H A` when :math:`A\in\mathbb{C}^{m\times n}` is given.

In several situations one needs to analyse some mathematical properties of square matrices in the form :math:`A^H A \in\mathbb{C}^{n\times n}` where :math:`A\in\mathbb{C}^{m\times n}` is already known. In scenarios like those, the previous knowledge of :math:`A` can be used to increase the performance of the required calculations.

.. Recall that a positive-semidefinite matrix :math:`M` can always be  (refer to `Decomposition of PSDM <https://en.wikipedia.org/wiki/Definite_matrix#Decomposition>`_)

.. currentmodule:: spacekernel.mathtools.ellipsoid

.. toctree::
    :hidden:
    :maxdepth: 1
    :caption: Mathtools

    Ellipsoid

.. autosummary::

    Ellipsoid